Question

1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?

Answer 1

The first one is B because of the first attachment. The second one is A because of the second attachment. The third one is C because of the expression used to solve for sum of angles: 
(n-2)180 
(8-2)180
1080
Hope this helps!

Answer 2

Answer:

1) b

2)a

3)b

Step-by-step explanation:

1)Consider AC and BD. Both have common mid point as (5,4) and (5,4)

Hence diagonals bisect each other. Slope of AC=0 and slope of BD = -4/0

i.e. one is horizontal and other is vertical. Hence diagonals bisect at right angles.  So rhombus.

2) ABCD has adjacent sides equal and diagonals bisect each other at right angles.

Slope of AC =1 and BD =-1 that is product =-1. Kites are perpendicular.

So kite

3) Any polygon irrespective of number of sides, the exterior angles will add upto 360 degrees.